Question

How do I express the sum of the length and width of a rectangle given its perimeter 8x + 4?

Answer 1

To express the sum of the length and width of a rectangle given its perimeter, we can use the formula for the perimeter of a rectangle:

\[
P = 2L + 2W
\]

where \( L \) is the length and \( W \) is the width.

Given that the perimeter \( P \) is equal to \( 8x + 4 \), you can set up the equation:

\[
2L + 2W = 8x + 4
\]

To find \( L + W \) (the sum of the length and width), you can divide the entire equation by 2:

\[
L + W = \frac{8x + 4}{2}
\]

Simplifying the right side:

\[
L + W = 4x + 2
\]

Therefore, the sum of the length and width of the rectangle is:

\[
\boxed{4x + 2}
\]